Modes of linear stationary response of the atmospheric boundary layer to a cold surge in the Black Sea

Modes of linear stationary response of the atmospheric boundary layer to a cold surge in the... To describe the phenomenon of cold surges in the Black Sea in winter, we study the problem of atmospheric response to a local heat source on the surface in two simple formulations. In the shallow-water model, the planetary boundary layer of the atmosphere is homogeneous with variable upper bound. In the second model, the boundary layer has a constant thickness and its stratification is homogeneous. In the one-dimensional problem, for a constant wind blowing perpendicularly to the sea coast, the atmospheric response is determined by a single dimensionless parameter called the Froude number. Depending on its value, there are two possible different modes of the response. The range Fr < 1 (subcritical mode) corresponds to gentle winds, strong stratifications, thick boundary layers, and high velocities of inertial gravitational waves. The range Fr > 1 (supercritical mode) corresponds to strong winds, weak stratifications, thin boundary layers, and low wave velocities. In the two-dimensional problem for a round sea, there are four qualitatively different types of response depending on the combination of two dimensionless parameters: the Froude number and the ratio of the radius of the sea to the radius of deformation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Oceanography Springer Journals

Modes of linear stationary response of the atmospheric boundary layer to a cold surge in the Black Sea

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Publisher
Springer US
Copyright
Copyright © 2008 by Springer Science+Business Media, Inc.
Subject
Earth Sciences; Oceanography; Remote Sensing/Photogrammetry; Atmospheric Sciences; Climate Change; Environmental Physics
ISSN
0928-5105
eISSN
0928-5105
D.O.I.
10.1007/s11110-009-9027-9
Publisher site
See Article on Publisher Site

Abstract

To describe the phenomenon of cold surges in the Black Sea in winter, we study the problem of atmospheric response to a local heat source on the surface in two simple formulations. In the shallow-water model, the planetary boundary layer of the atmosphere is homogeneous with variable upper bound. In the second model, the boundary layer has a constant thickness and its stratification is homogeneous. In the one-dimensional problem, for a constant wind blowing perpendicularly to the sea coast, the atmospheric response is determined by a single dimensionless parameter called the Froude number. Depending on its value, there are two possible different modes of the response. The range Fr < 1 (subcritical mode) corresponds to gentle winds, strong stratifications, thick boundary layers, and high velocities of inertial gravitational waves. The range Fr > 1 (supercritical mode) corresponds to strong winds, weak stratifications, thin boundary layers, and low wave velocities. In the two-dimensional problem for a round sea, there are four qualitatively different types of response depending on the combination of two dimensionless parameters: the Froude number and the ratio of the radius of the sea to the radius of deformation.

Journal

Physical OceanographySpringer Journals

Published: Mar 11, 2009

References

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